Constructing Bisectors Flashcards
What is a Bisector?
It is something that cuts an object into 2 equal parts
What are the types of Bisectors?
Perpendicular Bisector
and
Angle Bisector
What is a perpendicular bisector?
A Perpendicular Bisector is a line that divides a line that is at right angle to it, such that the line is cut into 2 equal parts
Is the blue line a perpendicular bisectorof RS?
No, it is not at right angled to RS
Is the blue line a perpendicular bisectorof RS?
No, it does not divide RS into 2 equal parts
What is an angle bisector?
An Angle Bisector is a line that divides an angle into 2 equal angles
To construct a perpendicular bisector of a line segment AB of length 6 cm
What is the first step?
Draw line AB = 6 cm
To construct a perpendicular bisector of a line segment AB of length 6 cm
What is the second step?
Place the needle end of the compass at A. With a radius greater than half the length of AB, draw an arc above and below AB
To construct a perpendicular bisector of a line segment AB of length 6 cm
What is the third step?
From a point B, and with the same radius as in step 2, draw arcs to cut the arcs in step 2 at 2 points A and B
To construct a perpendicular bisector of a line segment AB of length 6 cm
What is the fourth step?
Join PQ
To construct an Angle bisector
What is the first step?
Place the needle end of the compass at B.
Draw an arc to cut the line segment AB at X
and an arc to cut the line segment BC at Y
To construct an Angle bisector
What is the second step?
Using the same length as in step 1, place the needle end of the compass at X and draw an arc as shown
To construct an Angle bisector
What is the third step?
Again with the same length, place the needle end of the compass at Y and draw an arc with the arc drawn in Step 2.
Label the intersection point as P
To construct an Angle bisector
What is the fourth step?
Join BP
